Pandas Profiling Report

Dataset statistics

Number of variables	21
Number of observations	3833
Missing cells	59
Missing cells (%)	0.1%
Duplicate rows	500
Duplicate rows (%)	13.0%
Total size in memory	602.8 KiB
Average record size in memory	161.0 B

Variable types

NUM	16
BOOL	3
CAT	2

Reproduction

Analysis started	2020-07-27 12:36:13.260460
Analysis finished	2020-07-27 12:37:01.011011
Duration	47.75 seconds
Version	pandas-profiling v2.8.0
Command line	`pandas_profiling --config_file config.yaml [YOUR_FILE.csv]`
Download configuration	config.yaml

Warnings

Dataset has 500 (13.0%) duplicate rows	Duplicates
`State` has a high cardinality: 51 distinct values	High cardinality
`TotalMorCharge` is highly correlated with `TotalMorMin`	High correlation
`TotalMorMin` is highly correlated with `TotalMorCharge`	High correlation
`TotalEveCharge` is highly correlated with `TotalEveMin`	High correlation
`TotalEveMin` is highly correlated with `TotalEveCharge`	High correlation
`TotalNightCharge` is highly correlated with `TotalNightMin`	High correlation
`TotalNightMin` is highly correlated with `TotalNightCharge`	High correlation
`TotalIntCharge` is highly correlated with `TotalIntMinutes`	High correlation
`TotalIntMinutes` is highly correlated with `TotalIntCharge`	High correlation
`NumEmailMessages` has 2753 (71.8%) zeros	Zeros
`CustomerServiceCalls` has 801 (20.9%) zeros	Zeros

State
Categorical

HIGH CARDINALITY

Distinct count	51
Unique (%)	1.3%
Missing	0
Missing (%)	0.0%
Memory size	29.9 KiB

WV	123
MN	96
AL	94
NY	93
WY	92
Other values (46)	3335

Common Values
Length

Value	Count	Frequency (%)
WV	123	3.2%
MN	96	2.5%
AL	94	2.5%
NY	93	2.4%
WY	92	2.4%
WI	92	2.4%
OR	90	2.3%
VT	88	2.3%
OH	87	2.3%
VA	86	2.2%
Other values (41)	2892	75.5%

Length

Max length	2
Median length	2
Mean length	2
Min length	2

AccountLength
Real number (ℝ_≥0)

Distinct count	212
Unique (%)	5.5%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	100.69762588051135
Minimum	1
Maximum	243
Zeros	0
Zeros (%)	0.0%
Memory size	29.9 KiB

Quantile statistics

Minimum	1
5-th percentile	35
Q1	73
median	100
Q3	127
95-th percentile	167
Maximum	243
Range	242
Interquartile range (IQR)	54

Descriptive statistics

Standard deviation	39.87235815
Coefficient of variation (CV)	0.3959612534
Kurtosis	-0.1284573965
Mean	100.6976259
Median Absolute Deviation (MAD)	27
Skewness	0.1106040285
Sum	385974
Variance	1589.804945

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
87	52	1.4%
105	47	1.2%
90	46	1.2%
93	45	1.2%
101	45	1.2%
95	42	1.1%
86	42	1.1%
112	41	1.1%
99	41	1.1%
92	41	1.1%
Other values (202)	3391	88.5%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
1	9	0.2%
2	1	< 0.1%
3	6	0.2%
4	1	< 0.1%
5	2	0.1%

Value	Count	Frequency (%)
243	2	0.1%
232	1	< 0.1%
225	2	0.1%
224	2	0.1%
221	1	< 0.1%

AreaCode
Categorical

Distinct count	3
Unique (%)	0.1%
Missing	0
Missing (%)	0.0%
Memory size	29.9 KiB

415	1903
510	976
408	954

Common Values
Length

Value	Count	Frequency (%)
415	1903	49.6%
510	976	25.5%
408	954	24.9%

Length

Max length	3
Median length	3
Mean length	3
Min length	3

PhoneNumber
Real number (ℝ_≥0)

Distinct count	3333
Unique (%)	87.0%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	3746407.146099661
Minimum	3271058
Maximum	4229964
Zeros	0
Zeros (%)	0.0%
Memory size	29.9 KiB

Quantile statistics

Minimum	3271058
5-th percentile	3323632
Q1	3506473
median	3749107
Q3	3988385
95-th percentile	4174597.6
Maximum	4229964
Range	958906
Interquartile range (IQR)	481912

Descriptive statistics

Standard deviation	275881.3736
Coefficient of variation (CV)	0.07363891934
Kurtosis	-1.232389722
Mean	3746407.146
Median Absolute Deviation (MAD)	240763
Skewness	0.008673364768
Sum	1.435997859e+10
Variance	7.611053232e+10

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
3665918	2	0.1%
3275525	2	0.1%
3841833	2	0.1%
4029691	2	0.1%
3929342	2	0.1%
3502832	2	0.1%
3765908	2	0.1%
3572679	2	0.1%
3343289	2	0.1%
3908876	2	0.1%
Other values (3323)	3813	99.5%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
3271058	1	< 0.1%
3271319	2	0.1%
3273053	2	0.1%
3273587	2	0.1%
3273850	1	< 0.1%

Value	Count	Frequency (%)
4229964	1	< 0.1%
4228344	1	< 0.1%
4228333	1	< 0.1%
4228268	1	< 0.1%
4227728	1	< 0.1%

InternationalPlan?
Boolean

Distinct count	2
Unique (%)	0.1%
Missing	0
Missing (%)	0.0%
Memory size	29.9 KiB

No	3459
Yes	374

Frequency Table

Value	Count	Frequency (%)
No	3459	90.2%
Yes	374	9.8%

VoiceMailPlan?
Boolean

Distinct count	2
Unique (%)	0.1%
Missing	0
Missing (%)	0.0%
Memory size	29.9 KiB

No	2753
Yes	1080

Frequency Table

Value	Count	Frequency (%)
No	2753	71.8%
Yes	1080	28.2%

NumEmailMessages
Real number (ℝ_≥0)

ZEROS

Distinct count	46
Unique (%)	1.2%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	8.227758935559613
Minimum	0
Maximum	51
Zeros	2753
Zeros (%)	71.8%
Memory size	29.9 KiB

Quantile statistics

Minimum	0
5-th percentile	0
Q1	0
median	0
Q3	20
95-th percentile	36
Maximum	51
Range	51
Interquartile range (IQR)	20

Descriptive statistics

Standard deviation	13.72443692
Coefficient of variation (CV)	1.668065025
Kurtosis	-0.1262028895
Mean	8.227758936
Median Absolute Deviation (MAD)	0
Skewness	1.234682156
Sum	31537
Variance	188.3601687

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
0	2753	71.8%
31	75	2.0%
29	62	1.6%
28	60	1.6%
33	54	1.4%
24	52	1.4%
26	52	1.4%
27	52	1.4%
30	50	1.3%
32	48	1.3%
Other values (36)	575	15.0%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	2753	71.8%
4	1	< 0.1%
8	2	0.1%
9	2	0.1%
10	1	< 0.1%

Value	Count	Frequency (%)
51	2	0.1%
50	2	0.1%
49	1	< 0.1%
48	2	0.1%
47	3	0.1%

TotalMorMin
Real number (ℝ_≥0)

HIGH CORRELATION

Distinct count	1661
Unique (%)	43.7%
Missing	30
Missing (%)	0.8%
Infinite	0
Infinite (%)	0.0%

Mean	180.07851696029454
Minimum	0.0
Maximum	350.8
Zeros	2
Zeros (%)	0.1%
Memory size	29.9 KiB

Quantile statistics

Minimum	0
5-th percentile	89.82
Q1	144
median	179.9
Q3	216.65
95-th percentile	271.1
Maximum	350.8
Range	350.8
Interquartile range (IQR)	72.65

Descriptive statistics

Standard deviation	54.66461122
Coefficient of variation (CV)	0.3035598701
Kurtosis	-0.01402366085
Mean	180.078517
Median Absolute Deviation (MAD)	36.3
Skewness	-0.02261846973
Sum	684838.6
Variance	2988.21972

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
154	11	0.3%
159.5	10	0.3%
153.5	9	0.2%
146.3	8	0.2%
215.6	8	0.2%
209.9	8	0.2%
175.4	8	0.2%
174.5	8	0.2%
142.3	8	0.2%
183.4	8	0.2%
Other values (1651)	3717	97.0%
(Missing)	30	0.8%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	2	0.1%
2.6	1	< 0.1%
7.8	1	< 0.1%
7.9	1	< 0.1%
12.5	1	< 0.1%

Value	Count	Frequency (%)
350.8	1	< 0.1%
346.8	2	0.1%
345.3	1	< 0.1%
337.4	1	< 0.1%
335.5	2	0.1%

TotalMorCalls
Real number (ℝ_≥0)

Distinct count	119
Unique (%)	3.1%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	100.36029219932168
Minimum	0
Maximum	165
Zeros	2
Zeros (%)	0.1%
Memory size	29.9 KiB

Quantile statistics

Minimum	0
5-th percentile	67
Q1	87
median	101
Q3	114
95-th percentile	133
Maximum	165
Range	165
Interquartile range (IQR)	27

Descriptive statistics

Standard deviation	20.05586819
Coefficient of variation (CV)	0.1998386787
Kurtosis	0.2069223211
Mean	100.3602922
Median Absolute Deviation (MAD)	13
Skewness	-0.0932414474
Sum	384681
Variance	402.2378488

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
102	88	2.3%
105	85	2.2%
107	84	2.2%
88	84	2.2%
97	83	2.2%
110	81	2.1%
104	80	2.1%
95	79	2.1%
108	78	2.0%
112	76	2.0%
Other values (109)	3015	78.7%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	2	0.1%
30	1	< 0.1%
35	1	< 0.1%
36	2	0.1%
40	3	0.1%

Value	Count	Frequency (%)
165	1	< 0.1%
163	1	< 0.1%
160	1	< 0.1%
158	3	0.1%
157	1	< 0.1%

TotalMorCharge
Real number (ℝ_≥0)

HIGH CORRELATION

Distinct count	1667
Unique (%)	43.5%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	30.61445603965562
Minimum	0.0
Maximum	59.64
Zeros	2
Zeros (%)	0.1%
Memory size	29.9 KiB

Quantile statistics

Minimum	0
5-th percentile	15.262
Q1	24.48
median	30.6
Q3	36.82
95-th percentile	46.094
Maximum	59.64
Range	59.64
Interquartile range (IQR)	12.34

Descriptive statistics

Standard deviation	9.292340501
Coefficient of variation (CV)	0.3035278657
Kurtosis	-0.01138899956
Mean	30.61445604
Median Absolute Deviation (MAD)	6.15
Skewness	-0.02466342212
Sum	117345.21
Variance	86.34759199

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
26.18	11	0.3%
27.12	10	0.3%
26.1	9	0.2%
24.87	8	0.2%
24.19	8	0.2%
29.82	8	0.2%
31.18	8	0.2%
36.65	8	0.2%
35.68	8	0.2%
27.59	8	0.2%
Other values (1657)	3747	97.8%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	2	0.1%
0.44	1	< 0.1%
1.33	1	< 0.1%
1.34	1	< 0.1%
2.13	1	< 0.1%

Value	Count	Frequency (%)
59.64	1	< 0.1%
58.96	2	0.1%
58.7	1	< 0.1%
57.36	1	< 0.1%
57.04	2	0.1%

TotalEveMin
Real number (ℝ_≥0)

HIGH CORRELATION

Distinct count	1609
Unique (%)	42.1%
Missing	11
Missing (%)	0.3%
Infinite	0
Infinite (%)	0.0%

Mean	200.68592360020935
Minimum	0.0
Maximum	363.7
Zeros	1
Zeros (%)	< 0.1%
Memory size	29.9 KiB

Quantile statistics

Minimum	0
5-th percentile	118.01
Q1	165.8
median	201
Q3	235.3
95-th percentile	285.195
Maximum	363.7
Range	363.7
Interquartile range (IQR)	69.5

Descriptive statistics

Standard deviation	51.18062928
Coefficient of variation (CV)	0.2550284961
Kurtosis	0.03312453356
Mean	200.6859236
Median Absolute Deviation (MAD)	34.9
Skewness	-0.03288100885
Sum	767021.6
Variance	2619.456813

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
169.9	11	0.3%
202.6	9	0.2%
167.9	8	0.2%
223	8	0.2%
219.1	8	0.2%
211.7	8	0.2%
195.5	8	0.2%
161.7	8	0.2%
220.6	8	0.2%
224.7	8	0.2%
Other values (1599)	3738	97.5%
(Missing)	11	0.3%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	1	< 0.1%
31.2	1	< 0.1%
42.2	2	0.1%
42.5	2	0.1%
43.9	2	0.1%

Value	Count	Frequency (%)
363.7	1	< 0.1%
361.8	1	< 0.1%
354.2	1	< 0.1%
351.6	1	< 0.1%
350.9	1	< 0.1%

TotalEveCalls
Real number (ℝ_≥0)

Distinct count	123
Unique (%)	3.2%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	100.12444560396557
Minimum	0
Maximum	170
Zeros	1
Zeros (%)	< 0.1%
Memory size	29.9 KiB

Quantile statistics

Minimum	0
5-th percentile	66
Q1	87
median	101
Q3	114
95-th percentile	133
Maximum	170
Range	170
Interquartile range (IQR)	27

Descriptive statistics

Standard deviation	19.93059224
Coefficient of variation (CV)	0.1990582032
Kurtosis	0.2446432281
Mean	100.1244456
Median Absolute Deviation (MAD)	13
Skewness	-0.09629527441
Sum	383777
Variance	397.2285072

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
105	94	2.5%
94	90	2.3%
108	83	2.2%
102	83	2.2%
101	81	2.1%
97	79	2.1%
88	77	2.0%
103	77	2.0%
109	77	2.0%
111	75	2.0%
Other values (113)	3017	78.7%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	1	< 0.1%
12	2	0.1%
36	1	< 0.1%
37	2	0.1%
42	1	< 0.1%

Value	Count	Frequency (%)
170	1	< 0.1%
168	1	< 0.1%
164	1	< 0.1%
159	1	< 0.1%
157	1	< 0.1%

TotalEveCharge
Real number (ℝ_≥0)

HIGH CORRELATION

Distinct count	1440
Unique (%)	37.6%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	17.05778241586225
Minimum	0.0
Maximum	30.91
Zeros	1
Zeros (%)	< 0.1%
Memory size	29.9 KiB

Quantile statistics

Minimum	0
5-th percentile	10.042
Q1	14.09
median	17.09
Q3	20
95-th percentile	24.234
Maximum	30.91
Range	30.91
Interquartile range (IQR)	5.91

Descriptive statistics

Standard deviation	4.346912906
Coefficient of variation (CV)	0.2548345852
Kurtosis	0.03489822183
Mean	17.05778242
Median Absolute Deviation (MAD)	2.96
Skewness	-0.03232485752
Sum	65382.48
Variance	18.89565181

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
18.62	12	0.3%
16.12	12	0.3%
18.96	11	0.3%
14.44	11	0.3%
14.25	11	0.3%
15.9	11	0.3%
17.99	11	0.3%
17.09	9	0.2%
16.18	9	0.2%
16.97	9	0.2%
Other values (1430)	3727	97.2%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	1	< 0.1%
2.65	1	< 0.1%
3.59	2	0.1%
3.61	2	0.1%
3.73	2	0.1%

Value	Count	Frequency (%)
30.91	1	< 0.1%
30.75	1	< 0.1%
30.11	1	< 0.1%
29.89	1	< 0.1%
29.83	1	< 0.1%

TotalNightMin
Real number (ℝ_≥0)

HIGH CORRELATION

Distinct count	1589
Unique (%)	41.7%
Missing	18
Missing (%)	0.5%
Infinite	0
Infinite (%)	0.0%

Mean	200.64432503276538
Minimum	23.2
Maximum	395.0
Zeros	0
Zeros (%)	0.0%
Memory size	29.9 KiB

Quantile statistics

Minimum	23.2
5-th percentile	117.97
Q1	166.9
median	200.9
Q3	235.25
95-th percentile	283.26
Maximum	395
Range	371.8
Interquartile range (IQR)	68.35

Descriptive statistics

Standard deviation	50.79240478
Coefficient of variation (CV)	0.2531464808
Kurtosis	0.07705348271
Mean	200.644325
Median Absolute Deviation (MAD)	34.1
Skewness	0.00538238217
Sum	765458.1
Variance	2579.868383

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
190.5	10	0.3%
197.4	10	0.3%
231.5	9	0.2%
214.6	9	0.2%
188.2	8	0.2%
221.6	8	0.2%
210	8	0.2%
205.1	8	0.2%
191.4	8	0.2%
198.5	8	0.2%
Other values (1579)	3729	97.3%
(Missing)	18	0.5%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
23.2	1	< 0.1%
43.7	1	< 0.1%
45	2	0.1%
47.4	1	< 0.1%
50.1	2	0.1%

Value	Count	Frequency (%)
395	1	< 0.1%
381.9	1	< 0.1%
377.5	1	< 0.1%
367.7	1	< 0.1%
364.9	1	< 0.1%

TotalNightCalls
Real number (ℝ_≥0)

Distinct count	120
Unique (%)	3.1%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	100.21627967649361
Minimum	33
Maximum	175
Zeros	0
Zeros (%)	0.0%
Memory size	29.9 KiB

Quantile statistics

Minimum	33
5-th percentile	68
Q1	87
median	100
Q3	114
95-th percentile	132
Maximum	175
Range	142
Interquartile range (IQR)	27

Descriptive statistics

Standard deviation	19.54282878
Coefficient of variation (CV)	0.1950065283
Kurtosis	-0.1090674252
Mean	100.2162797
Median Absolute Deviation (MAD)	13
Skewness	0.03654890648
Sum	384129
Variance	381.9221566

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
105	98	2.6%
104	91	2.4%
91	89	2.3%
102	82	2.1%
106	78	2.0%
103	77	2.0%
100	77	2.0%
94	76	2.0%
92	76	2.0%
98	74	1.9%
Other values (110)	3015	78.7%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
33	1	< 0.1%
36	1	< 0.1%
38	1	< 0.1%
42	2	0.1%
44	1	< 0.1%

Value	Count	Frequency (%)
175	1	< 0.1%
166	1	< 0.1%
164	1	< 0.1%
158	2	0.1%
157	2	0.1%

TotalNightCharge
Real number (ℝ_≥0)

HIGH CORRELATION

Distinct count	933
Unique (%)	24.3%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	9.029924341247064
Minimum	1.04
Maximum	17.77
Zeros	0
Zeros (%)	0.0%
Memory size	29.9 KiB

Quantile statistics

Minimum	1.04
5-th percentile	5.31
Q1	7.52
median	9.05
Q3	10.58
95-th percentile	12.734
Maximum	17.77
Range	16.73
Interquartile range (IQR)	3.06

Descriptive statistics

Standard deviation	2.282705428
Coefficient of variation (CV)	0.2527934168
Kurtosis	0.0810045426
Mean	9.029924341
Median Absolute Deviation (MAD)	1.53
Skewness	0.004077067018
Sum	34611.7
Variance	5.21074407

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
8.88	17	0.4%
9.66	16	0.4%
8.57	16	0.4%
9.48	15	0.4%
8.47	15	0.4%
9.23	15	0.4%
9.45	15	0.4%
7.15	14	0.4%
7.69	14	0.4%
6.48	13	0.3%
Other values (923)	3683	96.1%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
1.04	1	< 0.1%
1.97	1	< 0.1%
2.03	2	0.1%
2.13	1	< 0.1%
2.25	2	0.1%

Value	Count	Frequency (%)
17.77	1	< 0.1%
17.19	1	< 0.1%
16.99	1	< 0.1%
16.55	1	< 0.1%
16.42	1	< 0.1%

TotalIntMinutes
Real number (ℝ_≥0)

HIGH CORRELATION

Distinct count	162
Unique (%)	4.2%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	10.24124706496217
Minimum	0.0
Maximum	20.0
Zeros	21
Zeros (%)	0.5%
Memory size	29.9 KiB

Quantile statistics

Minimum	0
5-th percentile	5.7
Q1	8.5
median	10.3
Q3	12.1
95-th percentile	14.7
Maximum	20
Range	20
Interquartile range (IQR)	3.6

Descriptive statistics

Standard deviation	2.800543716
Coefficient of variation (CV)	0.2734572946
Kurtosis	0.5978019651
Mean	10.24124706
Median Absolute Deviation (MAD)	1.8
Skewness	-0.2372642836
Sum	39254.7
Variance	7.843045104

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
11.3	68	1.8%
10	65	1.7%
11	64	1.7%
9.8	63	1.6%
11.4	63	1.6%
10.2	61	1.6%
10.9	61	1.6%
9.2	60	1.6%
10.1	60	1.6%
10.6	60	1.6%
Other values (152)	3208	83.7%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	21	0.5%
1.1	1	< 0.1%
1.3	2	0.1%
2	2	0.1%
2.1	2	0.1%

Value	Count	Frequency (%)
20	1	< 0.1%
18.9	1	< 0.1%
18.4	1	< 0.1%
18.3	1	< 0.1%
18.2	3	0.1%

TotalIntCalls
Real number (ℝ_≥0)

Distinct count	21
Unique (%)	0.5%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	4.495173493347248
Minimum	0
Maximum	20
Zeros	21
Zeros (%)	0.5%
Memory size	29.9 KiB

Quantile statistics

Minimum	0
5-th percentile	1
Q1	3
median	4
Q3	6
95-th percentile	9
Maximum	20
Range	20
Interquartile range (IQR)	3

Descriptive statistics

Standard deviation	2.476094511
Coefficient of variation (CV)	0.5508340255
Kurtosis	3.153150931
Mean	4.495173493
Median Absolute Deviation (MAD)	1
Skewness	1.348623378
Sum	17230
Variance	6.131044027

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
3	770	20.1%
4	718	18.7%
2	554	14.5%
5	546	14.2%
6	388	10.1%
7	243	6.3%
1	180	4.7%
8	140	3.7%
9	124	3.2%
10	53	1.4%
Other values (11)	117	3.1%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	21	0.5%
1	180	4.7%
2	554	14.5%
3	770	20.1%
4	718	18.7%

Value	Count	Frequency (%)
20	1	< 0.1%
19	1	< 0.1%
18	4	0.1%
17	1	< 0.1%
16	2	0.1%

TotalIntCharge
Real number (ℝ_≥0)

HIGH CORRELATION

Distinct count	162
Unique (%)	4.2%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	2.7656561440125227
Minimum	0.0
Maximum	5.4
Zeros	21
Zeros (%)	0.5%
Memory size	29.9 KiB

Quantile statistics

Minimum	0
5-th percentile	1.54
Q1	2.3
median	2.78
Q3	3.27
95-th percentile	3.97
Maximum	5.4
Range	5.4
Interquartile range (IQR)	0.97

Descriptive statistics

Standard deviation	0.7561383417
Coefficient of variation (CV)	0.2734028752
Kurtosis	0.5982886059
Mean	2.765656144
Median Absolute Deviation (MAD)	0.49
Skewness	-0.237328036
Sum	10600.76
Variance	0.5717451918

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
3.05	68	1.8%
2.7	65	1.7%
2.97	64	1.7%
2.65	63	1.6%
3.08	63	1.6%
2.94	61	1.6%
2.75	61	1.6%
2.86	60	1.6%
2.73	60	1.6%
2.48	60	1.6%
Other values (152)	3208	83.7%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	21	0.5%
0.3	1	< 0.1%
0.35	2	0.1%
0.54	2	0.1%
0.57	2	0.1%

Value	Count	Frequency (%)
5.4	1	< 0.1%
5.1	1	< 0.1%
4.97	1	< 0.1%
4.94	1	< 0.1%
4.91	3	0.1%

CustomerServiceCalls
Real number (ℝ_≥0)

ZEROS

Distinct count	10
Unique (%)	0.3%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	1.55987477171928
Minimum	0
Maximum	9
Zeros	801
Zeros (%)	20.9%
Memory size	29.9 KiB

Quantile statistics

Minimum	0
5-th percentile	0
Q1	1
median	1
Q3	2
95-th percentile	4
Maximum	9
Range	9
Interquartile range (IQR)	1

Descriptive statistics

Standard deviation	1.3197659
Coefficient of variation (CV)	0.8460716999
Kurtosis	1.915390665
Mean	1.559874772
Median Absolute Deviation (MAD)	1
Skewness	1.132034302
Sum	5979
Variance	1.74178203

Histogram

Histogram with fixed size bins (bins=10)

Value	Count	Frequency (%)
1	1369	35.7%
2	870	22.7%
0	801	20.9%
3	489	12.8%
4	184	4.8%
5	77	2.0%
6	27	0.7%
7	11	0.3%
9	3	0.1%
8	2	0.1%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0	801	20.9%
1	1369	35.7%
2	870	22.7%
3	489	12.8%
4	184	4.8%

Value	Count	Frequency (%)
9	3	0.1%
8	2	0.1%
7	11	0.3%
6	27	0.7%
5	77	2.0%

Churn?
Boolean

Distinct count	2
Unique (%)	0.1%
Missing	0
Missing (%)	0.0%
Memory size	3.7 KiB

False	3289
True	544

Frequency Table

Value	Count	Frequency (%)
False	3289	85.8%
True	544	14.2%

Pearson's r

The Pearson's correlation coefficient (r) is a measure of linear correlation between two variables. It's value lies between -1 and +1, -1 indicating total negative linear correlation, 0 indicating no linear correlation and 1 indicating total positive linear correlation. Furthermore, r is invariant under separate changes in location and scale of the two variables, implying that for a linear function the angle to the x-axis does not affect r.

To calculate r for two variables X and Y, one divides the covariance of X and Y by the product of their standard deviations.

Spearman's ρ

The Spearman's rank correlation coefficient (ρ) is a measure of monotonic correlation between two variables, and is therefore better in catching nonlinear monotonic correlations than Pearson's r. It's value lies between -1 and +1, -1 indicating total negative monotonic correlation, 0 indicating no monotonic correlation and 1 indicating total positive monotonic correlation.

To calculate ρ for two variables X and Y, one divides the covariance of the rank variables of X and Y by the product of their standard deviations.

Kendall's τ

Similarly to Spearman's rank correlation coefficient, the Kendall rank correlation coefficient (τ) measures ordinal association between two variables. It's value lies between -1 and +1, -1 indicating total negative correlation, 0 indicating no correlation and 1 indicating total positive correlation.

To calculate τ for two variables X and Y, one determines the number of concordant and discordant pairs of observations. τ is given by the number of concordant pairs minus the discordant pairs divided by the total number of pairs.

Phik (φk)

Phik (φk) is a new and practical correlation coefficient that works consistently between categorical, ordinal and interval variables, captures non-linear dependency and reverts to the Pearson correlation coefficient in case of a bivariate normal input distribution. There is extensive documentation available here.

Cramér's V (φc)

Cramér's V is an association measure for nominal random variables. The coefficient ranges from 0 to 1, with 0 indicating independence and 1 indicating perfect association. The empirical estimators used for Cramér's V have been proved to be biased, even for large samples. We use a bias-corrected measure that has been proposed by Bergsma in 2013 that can be found here.

First rows

	State	AccountLength	AreaCode	PhoneNumber	InternationalPlan?	VoiceMailPlan?	NumEmailMessages	TotalMorMin	TotalMorCalls	TotalMorCharge	TotalEveMin	TotalEveCalls	TotalEveCharge	TotalNightMin	TotalNightCalls	TotalNightCharge	TotalIntMinutes	TotalIntCalls	TotalIntCharge	CustomerServiceCalls	Churn?
0	KS	128	415	3824657	No	Yes	25	265.1	110	45.07	197.4	99	16.78	244.7	91	11.01	10.0	3	2.70	1	False
1	OH	107	415	3717191	No	Yes	26	161.6	123	27.47	195.5	103	16.62	254.4	103	11.45	13.7	3	3.70	1	False
2	NJ	137	415	3581921	No	No	0	243.4	114	41.38	121.2	110	10.30	162.6	104	7.32	12.2	5	3.29	0	False
3	OH	84	408	3759999	Yes	No	0	299.4	71	50.90	61.9	88	5.26	196.9	89	8.86	6.6	7	1.78	2	False
4	OK	75	415	3306626	Yes	No	0	166.7	113	28.34	148.3	122	12.61	186.9	121	8.41	10.1	3	2.73	3	False
5	AL	118	510	3918027	Yes	No	0	223.4	98	37.98	220.6	101	18.75	203.9	118	9.18	6.3	6	1.70	0	False
6	MA	121	510	3559993	No	Yes	24	218.2	88	37.09	348.5	108	29.62	212.6	118	9.57	7.5	7	2.03	3	False
7	MO	147	415	3299001	Yes	No	0	157.0	79	26.69	103.1	94	8.76	211.8	96	9.53	7.1	6	1.92	0	False
8	LA	117	408	3354719	No	No	0	184.5	97	31.37	351.6	80	29.89	215.8	90	9.71	8.7	4	2.35	1	False
9	WV	141	415	3308173	Yes	Yes	37	258.6	84	43.96	222.0	111	18.87	326.4	97	14.69	11.2	5	3.02	0	False

Last rows

	State	AccountLength	AreaCode	PhoneNumber	InternationalPlan?	VoiceMailPlan?	NumEmailMessages	TotalMorMin	TotalMorCalls	TotalMorCharge	TotalEveMin	TotalEveCalls	TotalEveCharge	TotalNightMin	TotalNightCalls	TotalNightCharge	TotalIntMinutes	TotalIntCalls	TotalIntCharge	CustomerServiceCalls	Churn?
3823	SC	38	415	3755439	No	Yes	31	197.2	118	33.52	249.9	70	21.24	298.9	104	13.45	3.9	2	1.05	0	False
3824	MI	50	415	3613779	No	Yes	35	192.6	97	32.74	135.2	101	11.49	216.2	101	9.73	7.9	2	2.13	2	False
3825	MI	45	510	3758934	No	Yes	26	91.7	104	15.59	150.6	119	12.80	63.3	103	2.85	7.7	5	2.08	1	False
3826	TN	70	510	3954757	No	No	0	126.3	99	21.47	141.6	106	12.04	255.9	96	11.52	9.6	2	2.59	0	False
3827	NY	147	510	4217205	No	Yes	33	251.5	107	42.76	234.1	110	19.90	213.4	87	9.60	10.4	6	2.81	3	False
3828	NV	94	510	3798805	No	No	0	190.6	108	32.40	152.3	95	12.95	144.7	97	6.51	7.5	5	2.03	1	False
3829	IL	179	510	3482150	No	No	0	116.1	101	19.74	201.8	99	17.15	181.9	103	8.19	11.6	5	3.13	0	False
3830	MS	116	415	4179128	No	No	0	217.3	91	36.94	216.1	95	18.37	148.1	76	6.66	11.3	3	3.05	2	False
3831	ND	59	510	3514226	No	No	0	179.4	80	30.50	232.5	99	19.76	175.8	105	7.91	14.7	3	3.97	0	False
3832	NC	165	415	3306630	No	No	0	207.7	109	35.31	164.8	94	14.01	54.5	91	2.45	7.9	3	2.13	0	False

Most frequent

	State	AccountLength	AreaCode	PhoneNumber	InternationalPlan?	VoiceMailPlan?	NumEmailMessages	TotalMorMin	TotalMorCalls	TotalMorCharge	TotalEveMin	TotalEveCalls	TotalEveCharge	TotalNightMin	TotalNightCalls	TotalNightCharge	TotalIntMinutes	TotalIntCalls	TotalIntCharge	CustomerServiceCalls	Churn?	count
0	AK	41	415	3787733	No	No	0	159.3	66	27.08	125.9	75	10.70	261.9	76	11.79	11.1	5	3.00	1	False	2
1	AK	78	510	4189385	No	No	0	190.3	88	32.35	194.5	89	16.53	256.5	109	11.54	11.7	5	3.16	2	False	2
2	AK	108	415	3305462	No	No	0	103.0	129	17.51	242.3	103	20.60	170.2	89	7.66	7.9	3	2.13	1	False	2
3	AK	110	408	3962335	No	No	0	100.1	90	17.02	233.3	93	19.83	204.4	57	9.20	11.1	8	3.00	3	False	2
4	AK	111	415	3647719	No	No	0	172.8	58	29.38	183.1	108	15.56	158.8	104	7.15	7.9	3	2.13	4	True	2
5	AK	127	408	3839255	No	No	0	182.3	124	30.99	169.9	110	14.44	184.0	116	8.28	9.3	3	2.51	1	False	2
6	AK	130	415	3925587	No	No	0	242.5	101	41.23	102.8	114	8.74	142.4	89	6.41	9.3	2	2.51	2	False	2
7	AK	132	415	3459153	No	Yes	39	175.7	93	29.87	187.2	94	15.91	225.5	118	10.15	8.6	3	2.32	2	False	2
8	AK	156	510	3414075	No	No	0	123.7	96	21.03	103.0	80	8.76	189.4	82	8.52	13.1	4	3.54	1	False	2
9	AL	47	408	4045387	No	Yes	28	141.3	94	24.02	168.0	108	14.28	113.5	84	5.11	7.8	2	2.11	1	False	2

Overview

Variables

Interactions

Correlations

Pearson's r

Spearman's ρ

Kendall's τ

Phik (φk)

Cramér's V (φc)

Missing values

Sample

First rows

Last rows

Duplicate rows

Most frequent